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Finding the Fourth Proportional to 971.98, 1,456.94 and 386.74

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Solution

The fourth proportional to 971.98, 1,456.94 and 386.74 is: 579.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.98 : 1,456.94 = 386.74 : x
  2. Step 2: Convert to fraction form
    971.98/1,456.94 = 386.74/x
  3. Step 3: Cross multiply
    971.98x = 1,456.94 × 386.74
  4. Step 4: Simplify right side
    971.98x = 563,457.59
  5. Step 5: Solve for x
    x = 563,457.59/971.98
  6. Step 6: Final answer
    x = 579.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.